90288261 has 24 divisors (see below), whose sum is σ = 152518080. Its totient is φ = 50391936.

The previous prime is 90288259. The next prime is 90288277. The reversal of 90288261 is 16288209.

It is not a de Polignac number, because 90288261 - 2¹ = 90288259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90288221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13956 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (6354920).

Almost surely, 2^90288261 is an apocalyptic number.

It is an amenable number.

90288261 is a deficient number, since it is larger than the sum of its proper divisors (62229819).

90288261 is a wasteful number, since it uses less digits than its factorization.

90288261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33385 (or 33382 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 90288261 is about 9502.0135234591. The cubic root of 90288261 is about 448.6184144626.

The spelling of 90288261 in words is "ninety million, two hundred eighty-eight thousand, two hundred sixty-one".